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Finding the Fourth Proportional to 37,202.64, 51,282.77 and 22,835.94

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Solution

The fourth proportional to 37,202.64, 51,282.77 and 22,835.94 is: 31,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,202.64 : 51,282.77 = 22,835.94 : x
  2. Step 2: Convert to fraction form
    37,202.64/51,282.77 = 22,835.94/x
  3. Step 3: Cross multiply
    37,202.64x = 51,282.77 × 22,835.94
  4. Step 4: Simplify right side
    37,202.64x = 1,171,090,144.57
  5. Step 5: Solve for x
    x = 1,171,090,144.57/37,202.64
  6. Step 6: Final answer
    x = 31,478.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.